What is expand (5x^4-y^3)^2 ?

The solution to expand (5x^4-y^3)^2 is 25x^8-10x^4y^3+y^6

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expand (5x^4-y^3)^2

expand

(5 x^{4} - y^{3})^{2}

25 x^{8} - 10 x^{4} y^{3} + y^{6}

Solution steps

(5 x^{4} - y^{3})^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(5 x^{4} - y^{3})^{2} = (5 x^{4})^{2} - 2 \cdot 5 x^{4} y^{3} + (y^{3})^{2}

= (5 x^{4})^{2} - 2 \cdot 5 x^{4} y^{3} + (y^{3})^{2}

Simplify

(5 x^{4})^{2} - 2 \cdot 5 x^{4} y^{3} + (y^{3})^{2} : 25 x^{8} - 10 x^{4} y^{3} + y^{6}

= 25 x^{8} - 10 x^{4} y^{3} + y^{6}

(2 x + 1) (x - 2) (x + 3)

\frac{2}{3} lo g_{10} (\frac{1 0 ^{12}}{1 0 ^{4.4}})

\frac{x ^{5} + 243}{x + 3}

\frac{9}{81}

(2 t^{- 3})^{- 2}

What is expand (5x^4-y^3)^2 ?
The solution to expand (5x^4-y^3)^2 is 25x^8-10x^4y^3+y^6